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We investigate how large language models can be used as research tools in scientific computing while preserving mathematical rigor. We propose a human-in-the-loop workflow for interactive theorem proving and discovery with LLMs. Human…

Human-Computer Interaction · Computer Science 2025-12-12 Chenyi Li , Zhijian Lai , Dong An , Jiang Hu , Zaiwen Wen

Recent advances in generative AI have led to remarkable interest in using systems that rely on large language models (LLMs) for practical applications. However, meaningful evaluation of these systems in real-world scenarios comes with a…

Artificial Intelligence · Computer Science 2025-07-22 Ethan M. Rudd , Christopher Andrews , Philip Tully

Moment closure methods appear in myriad scientific disciplines in the modelling of complex systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled differential (or difference) equations. Each equation…

Statistical Mechanics · Physics 2018-12-24 Christian Kuehn

Shapley values are great analytical tools in game theory to measure the importance of a player in a game. Due to their axiomatic and desirable properties such as efficiency, they have become popular for feature importance analysis in data…

Machine Learning · Computer Science 2020-10-26 Ramin Okhrati , Aldo Lipani

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

Machine Learning · Computer Science 2022-12-13 Colin G. Cess , Stacey D. Finley

Much of current machine learning (ML) research has lost its connection to problems of import to the larger world of science and society. From this perspective, there exist glaring limitations in the data sets we investigate, the metrics we…

Machine Learning · Computer Science 2018-02-19 Kiri Wagstaff

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Recommender systems play a key role in shaping modern web ecosystems. These systems alternate between (1) making recommendations (2) collecting user responses to these recommendations, and (3) retraining the recommendation algorithm based…

Information Retrieval · Computer Science 2022-07-18 Karl Krauth , Yixin Wang , Michael I. Jordan

Large language model-based agents are increasingly applied in the recommendation field due to their extensive knowledge and strong planning capabilities. While prior research has primarily focused on enhancing either the recommendation…

Information Retrieval · Computer Science 2025-05-05 Shihao Cai , Jizhi Zhang , Keqin Bao , Chongming Gao , Qifan Wang , Fuli Feng , Xiangnan He

Large Language Models are increasingly capable of interpreting multimodal inputs to generate complex 3D shapes, yet robust methods to evaluate geometric and structural fidelity remain underdeveloped. This paper introduces a human in the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Ahmed R. Sadik , Mariusz Bujny

Chain-of-thought (CoT) prompting enables reasoning in language models but requires explicit verbalization of intermediate steps. Looped transformers offer an alternative by iteratively refining representations within hidden states. This…

Computation and Language · Computer Science 2026-03-12 Markus Frey , Behzad Shomali , Ali Hamza Bashir , David Berghaus , Joachim Koehler , Mehdi Ali

Topic evolution modeling has been researched for a long time and has gained considerable interest. A state-of-the-art method has been recently using word modeling algorithms in combination with community detection mechanisms to achieve…

Computation and Language · Computer Science 2019-12-17 Patrick Kiss , Elaheh Momeni

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

Machine Learning · Computer Science 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

Data is fundamental to large language models (LLMs). However, understanding of what makes certain data useful for different stages of an LLM workflow, including training, tuning, alignment, in-context learning, etc., and why, remains an…

Artificial Intelligence · Computer Science 2026-05-20 Shiqiang Wang , Herbert Woisetschläger , Hans Arno Jacobsen , Mingyue Ji

Large language models (LLMs) have demonstrated remarkable potential across numerous applications and have shown an emergent ability to tackle complex reasoning tasks, such as mathematical computations. However, even for the simplest…

Computation and Language · Computer Science 2024-09-04 Wei Zhang , Chaoqun Wan , Yonggang Zhang , Yiu-ming Cheung , Xinmei Tian , Xu Shen , Jieping Ye

There has been a recent push in making machine learning models more interpretable so that their performance can be trusted. Although successful, these methods have mostly focused on the deep learning methods while the fundamental…

Machine Learning · Computer Science 2022-06-16 David Steinmann , Matej Zečević , Devendra Singh Dhami , Kristian Kersting

Imitation learning techniques have been shown to be highly effective in real-world control scenarios, such as robotics. However, these approaches not only suffer from compounding error issues but also require human experts to provide…

Robotics · Computer Science 2025-02-21 Yigit Korkmaz , Erdem Bıyık

Scientists investigate the dynamics of complex systems with quantitative models, employing them to synthesize knowledge, to explain observations, and to forecast future system behavior. Complete specification of systems is impossible, so…

Quantitative Methods · Quantitative Biology 2007-05-23 S. R. Borrett , W. Bridewell , P. Langely , K. R. Arrigo

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems…

Systems and Control · Computer Science 2019-09-10 Claudio De Persis , Pietro Tesi

Event logs extracted from information systems offer a rich foundation for understanding and improving business processes. In many real-world applications, it is possible to distinguish between desirable and undesirable process executions,…

Artificial Intelligence · Computer Science 2025-11-03 Ali Norouzifar , Wil van der Aalst
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